Answer:
14%
Step-by-step explanation:
Using the formula for calculating Simple interest.
Simple interest = Principal × Rate × Time/100
Given Simple interest = $16.68
Principal = loan obtained = $580
Time (in years) = (75/365) year {we will convert days to year}
Rate (in %) = ?
On substituting to get the rate
16.68 = {580×R×(75/365})/100
16.68 = 580×R×75/365×100
16.68×36,500 = 580×R×75
608,820 = 43,500R
R = 608,820/43,500
R = 13.99℅
Rate ≈ 14%
The interest rate that was charged for the loan is approximately 14%
What is the value of x?
Answer:
x=4
Step-by-step explanation:
ABCD is a rectangle, so AD and BC are parallel. Thus, The angle complementary to 6x+19 is 47.
6x+19+47=90
6x+66=90
6x=24
x=4
Answer:
opposite angles are equal, and since, the figure is a rectangle, all its sides measure 90 degrees. Which means, in the side with 47, the angle will be 90 degrees if the other angle is mentioned.( 90-47=43), and we know that opposite angles are equal, and on a line that divides the angles, 43 is equal to 6x+19. so, 6x+19=43,
6x=43-19=24
x=24/6=4
in the same way, the angle 47 mentioned in the figure is equal to the angle beside 6x+19
1.) 7x+4=46
2.) 4x+9=17
3.) 2x+1=1
how do you solve it
Answer:
1.) you're going to subtract 4 from 46
46-4= 42
7x=42
Then you divide 7 from 42 and get 6..........x=6
2.) you're going to do the same thing for this one
17-9=8
4x=8
8÷4=2
x=2
3.) you're going to do the same thing
1-1=0
2x=0
0÷2=0
x=0
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
To get in condition for running on the track team, Paul began by running 2 miles.
mile farther than he ran the day before. How far will Paul run on Day 7?
Every day after that, he ran
4
OA. 6 miles
OB. 6 miles
OC. 7 miles
OD. 8 miles
There are 3,600 seats in an arena. Tier 1 has 1,200 seats. Tier 2 has 1,400 seats. Tier 3 has 1,000 seats. What fraction of the seats are Tier 1?
Answer:
fraction of one seat = 1/3600
fraction of 1200 seats
=1/3600*1200
=1/3
Answer:
⅓
Step-by-step explanation:
1200/3600 divided to their lowest terms is ⅓ or 1/3,please mark brainliest.
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and 25.50 in year 2?
The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:
Step 1: Calculate the inflation rate:
Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100
Let's calculate the values:
Year 1 Basket Price = $25.00
Year 2 Basket Price = $25.50
Step 1: Calculate the inflation rate:
Inflation Rate = ($25.50 - $25.00) / $25.00
Inflation Rate = $0.50 / $25.00
Inflation Rate = 0.02 or 2%
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = ($25.50 / $25.00) * 100
Year 2 CPI = 1.02 * 100
Year 2 CPI = 102
Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
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Simplify (9m^5n^-7)
________ without negative exponents
27m^6n^5
Answer:
\(9m^5n^-7\) = \(\frac{ 9m^5}{n^ 7}\)
Step-by-step explanation:
How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
How do you tell if a slope is steeper or flatter?
Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .
Slope is the rate of change in the dependent variable with respect to the independent variable.
For an equation of line of the type - y= mx +c , the slope is given by the m value.
Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.
Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values, the lines have a flatter slope and do not have a steep nature.
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7a + b - 12 wich is the coefficient?
Show your work please no links please!:)
Answer:
hgoahdjfgggfhhfjfhfjf mark me brainliestplz
Step-by-step explanation:
You Spin a spinner it has 4 spaces. What is the probability that you spin a 3 and flipping heads
Answer:
12.5% or 1/8
Step-by-step explanation:
To find a compound probability multiply the likelihood of both events with each other.
Probability is how many things wished to be gotten over the total amount of possibilities for the event.
Spin a 3 on the spinner: 1/4 or 25% 1 space out of 4 spaces.
Flip the head side of the coin: 1/2 or 50% 1 side wish out of 2 sides.
1/4 x 1/2 = 1/8
1 divided by 8 = 0.125
0.125 x 100 = 12.5
12.5 is the the percentage.
can someone help me with this
Answer:
A. y = 3x.
Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.
A pencil case contains 8 blue and 4 green
pens.
A pen is chosen at random and not
returned, and then a second pen is chosen
at random.
Copy and complete the tree diagram.
What is the probability that the first pen is
green and the second pen is blue?
Give your answer as a fraction in its
simplest form.
Help me with this question it’s bugging me
The probability is 8/33 is already in its simplest form as the numerator and denominator share no common factors.
What is probability and step by step explanation?Probability is a measure of the likelihood of an event occurring, represented as a decimal or fraction between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.(Probability of choosing a green pen on the first draw) x (Probability of choosing a blue pen on the second draw, given that a green pen was chosen on the first draw)= (4/12) * (8/11)= (1/3) * (8/11)= 8/33So the probability is 8/33. This is already in its simplest form as the numerator and denominator share no common factors.To learn more about probability refer:
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The probability is 8/33 is already in its simplest form as the numerator and denominator share no common factors.
What is probability and step by step explanation?Probability is a measure of the likelihood of an event occurring, represented as a decimal or fraction between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
(Probability of choosing a green pen on the first draw) x (Probability of choosing a blue pen on the second draw, given that a green pen was chosen on the first draw)
= (4/12) * (8/11)
= (1/3) * (8/11)
= 8/33
So the probability is 8/33. This is already in its simplest form as the numerator and denominator share no common factors.
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The time it takes to drive from orangeville to the vaughan mills mall is normally distributed with a mean of 52 minutes and a standard deviation of 5 minutes. what intervals could you estimate without using the z-score table and that does not include the mean as max or min?
Without using the z-score table and excluding the mean as the maximum or minimum, we can estimate the intervals as follows: (47, 57) minutes, (42, 62) minutes, (37, 67) minutes.
To estimate intervals without using the z-score table and without including the mean as the maximum or minimum, we can use the concept of the empirical rule (also known as the 68-95-99.7 rule). According to this rule:
Approximately 68% of the data falls within one standard deviation of the mean.
Approximately 95% of the data falls within two standard deviations of the mean.
Approximately 99.7% of the data falls within three standard deviations of the mean.
Given that the mean driving time is 52 minutes and the standard deviation is 5 minutes, we can use these percentages to estimate intervals:
One standard deviation interval: (52 - 5) to (52 + 5)
This gives us the interval (47, 57) minutes.
Two standard deviations interval: (52 - 2 * 5) to (52 + 2 * 5)
This gives us the interval (42, 62) minutes.
Three standard deviations interval: (52 - 3 * 5) to (52 + 3 * 5)
This gives us the interval (37, 67) minutes.
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(a) Show that the classical probability density describing a particle in an infinite square well of dimension is (Hint: The classical probability for finding a particle in is proportional to the time the partide spends in this interval.) (b) Using , determine the dassical averages and for a particle confined to the well, and compare with the quantum results found in Example Discuss your findings in light of the correspondence principle.
The classical probability density for a particle in an infinite square well is uniform within the well and zero outside. The classical averages for position and momentum are proportional to the size of the well.
(a) The classical probability density describing a particle in an infinite square well can be derived by considering the time the particle spends in each interval. In the classical framework, the probability for finding a particle in a particular interval is proportional to the time it spends in that interval.
For an infinite square well of dimension L, the particle is confined to the region between 0 and L. Assuming the particle has a constant velocity, the time it takes to travel from 0 to L is given by L/v, where v is the velocity. Therefore, the probability of finding the particle in the interval [a, b] is proportional to the time it spends in that interval, which is (b - a)/v.
Since the probability density is defined as the probability per unit length, we can express it as follows:
ρ(x) = k, if 0 ≤ x ≤ L,
= 0, otherwise,
where k is a constant. This implies that the probability density is constant within the well and zero outside of it. Thus, the classical probability density for a particle in an infinite square well is uniform within the well and zero outside.
(b) Using the classical probability density derived in part (a), we can determine the classical averages and for a particle confined to the well. The classical average position is given by:
<x> = ∫ xρ(x) dx,
and the classical average momentum is given by:
<p> = ∫ pρ(x) dx.
Since the classical probability density is uniform within the well, the integrals become:
<x> = k ∫ x dx, from 0 to L,
<p> = k ∫ p dx, from 0 to L.
Evaluating these integrals yields:
<x> = k(L²/2),
<p> = k(Lp/2),
where Lp is the linear momentum. These results indicate that the classical averages for position and momentum are proportional to the size of the well. Comparing these classical results with the quantum results obtained from Example, we observe that the quantum averages are not proportional to the size of the well. s, especially in systems with confinement and discreteness. When compared to the quantum results, we observe deviations from the classical predictions, indicating the limitations of classical mechanics in describing confined quantum systems. This deviation is in line with the correspondence principle, which states that classical mechanics is a limiting case of quantum mechanics for large quantum numbers or systems.
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On a test that has a normal distribution, a score of 54 falls two standard deviations
above the mean, and a score of 42 falls one standard deviation below the mean.
Determine the mean of this test.
Let μ be the mean of the distribution and let σ be its standard deviation.
We know that 54 falls two standard deviations above the mean, this can be express as:
\(\mu+2\sigma=54\)We also know that 42 falls one standard deviation below the mean, this can be express as:
\(\mu-\sigma=42\)Hence, we have the system of equations:
\(\begin{gathered} \mu+2\sigma=54 \\ \mu-\sigma=42 \end{gathered}\)To find the mean we solve the second equation for the standard deviation:
\(\sigma=\mu-42\)Now we plug this value in the first equation:
\(\begin{gathered} \mu+2(\mu-42)=54 \\ \mu+2\mu-84=54 \\ 3\mu=138 \\ \mu=\frac{138}{3} \\ \mu=46 \end{gathered}\)Therefore, the mean of the distribution is 46
Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of 2 1/2 and an area of 4 3/4. What is the length of the tray?
The length of the rectangular tray is 1 9/10
What is a Rectangle?
Rectangle is a four-sided flat shape where every angle is a right angle (90°).
Area of a Rectangle = Length * Width
where,
Area = 4 3/4
Length = ?
Width = 2 1/2
To find the length of the tray,
Length = Area/Width
Length = 4 (3/4) / (2 1/2)
Length = (19/4) / (5/2)
Length = 19/4 * 2/5
Length = 19/10
Length = 1 9/10
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How would the following errors affect the calculated values of the molar mass (high, low, or no effect) from the boiling-point elevation method if you were not aware that they had occurred? Explain your answers.
a. A small amount of unknown adheres to the inside of the test tube and did not get dissolved in the cyclohexane.
b. Some solvent is lost by volatilization.
c. The thermometer used in this experiment was miscalibrated to read 0.5°C lower than the actual temperature over its entire scale.
The errors mentioned in the question can affect the calculated values of the molar mass from the boiling-point elevation method in the following ways:
a. If a small amount of unknown adheres to the inside of the test tube and did not get dissolved in the cyclohexane, it would result in a lower calculated value of the molar mass. This is because the amount of unknown dissolved in the cyclohexane would be less than the actual amount, leading to a lower boiling-point elevation and therefore a lower calculated value of the molar mass.
b. If some solvent is lost by volatilization, it would result in a higher calculated value of the molar mass. This is because the loss of solvent would lead to a higher concentration of the unknown in the cyclohexane, leading to a higher boiling-point elevation and therefore a higher calculated value of the molar mass.
c. If the thermometer used in the experiment was miscalibrated to read 0.5°C lower than the actual temperature over its entire scale, it would result in a lower calculated value of the molar mass. This is because the boiling-point elevation would be underestimated due to the lower temperature reading, leading to a lower calculated value of the molar mass.
In conclusion, the errors mentioned in the question can affect the calculated values of the molar mass from the boiling-point elevation method, leading to either higher or lower values depending on the specific error. It is important to be aware of these errors and take steps to minimize them in order to obtain accurate results in the experiment.
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Ms. Ellen has a rectangular garden that's 2x+5 meters by 5x-3 meters. To plant grass seed in the garden, she needs to calculate the area of the garden. (Remember Area = length X width) If the seed costs $2.15 per square meter, how much will it cost to plant grass seed in the garden?
For this problem, we are given the dimensions of a garden and the cost of planting seeds per square meter in this garden. We need to determine the total cost of planting the seeds.
The first step is to calculate the area of the garden, for which we need to multiply the length and width:
\(\begin{gathered} A=(2x+5)(5x-3)\\ \\ A=10x^2-6x+25x-15\\ \\ A=10x^2+19x-15 \end{gathered}\)Now we need to multiply the area by the cost of the seeds per square meter. We have:
\(\begin{gathered} \text{ Cost}=(10x^2+19x-15)\cdot2.15\\ \\ \text{ Cost}=21.5x^2+40.85x-32.25 \end{gathered}\)The total cost is 21.5x² + 40.85x -32.25
Solve number 4 please.
Answer:
25%
Step-by-step explanation:
4/16 days were under 78 degress
Can someone please help me with this?
During elementary school, Malik received a weekly allowance of $16 for completing all of his chores. These days he receives 25% more. What is Malik's weekly allowance now?
The wholesale price for a chair is $165. A certain furniture store marks up the wholesale price by 20%. Find the price of the chair in the furniture store. Round your answer to the nearest cent, as necessary.
Answer:
$198
Step-by-step explanation:
Given data
WholeSale price= $165
Markup = 20%
Let us find the amount of the markup
=20/100*$165
=0.2*165
=$33
Hence the cost of the chair will be
=33+165
=$198
PLEASE ANSWER!!
NO LINKS!!
Answer:
y= -1/4x - 6
Step-by-step explanation:
slope: rise over run
find a clear point such as (-4, -5) and count how many to the right and how many down so that you get to the point where it crosses the y-axis (0, -6).
so it is 1 down, and 4 across, giving you slope of -1/4. It is negative because it is going downwards.
as for the +b, it is the y value where it crosses the y axis. (0, -6). so you get -6
The population of a town in California has been decling by a rate 15% by a rate 15% every year. The population of the was recorded 15,000 in year 2018. Assue that the population of the town will continue to decrease at the same rate. Write exponential equation that represents the declining an provide a brief explanation for your equation
The population is decreasing by 15% every year
The initial population = 15,000
Since it decreases every year
\(\begin{gathered} P=a(1+r)^t \\ \text{Where a = initial amount},\text{ r = rate, t = time} \end{gathered}\)Decreases every year = (100 - 15)
The rate of the population every year = 75%
\(P=15,000(1-0.15)^t\)What this simply means is that the population of California keep decreasing by 15%
Assuming the population of California in 2018 is 15000
By 2019 , it would have decreased by 15%
The new population in 2019 will now be = (100 - 15)% x 15000
= 85% x 15000
= 0.85 x 15000
= 12, 750
Therefore, the population in 2019 will now be 12, 750.... It will keep decreasing like that
shape created when a rectangle is rotated about the y-axis
When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.
When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.
The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.
The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.
This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.
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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.
When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.
The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.
The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.
This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.
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How many reflectional symmetries does this figure have?Enter your answer in the boxreflectional symmetriesHow many rotational symmetries does this figure have?Enter your answer in the boxrotational symmetnes
The capital letter H has 2 reflectional symmetry and 2 rotational symmetry.
A figure has reflectional symmetry if it can be reflected across a line and still look the same. For the capital letter H, there is two lines of symmetry, which is the vertical line and horizontal line that divides the letter into two equal halves. Reflecting the letter across this line produces the same letter. So, the H has only 2 reflectional symmetries.
A figure has rotational symmetry if it can be rotated by some angle and still look the same. For the capital letter H, if we rotate it 180 degrees and 360 degrees about the center point of the letter, it will look the same. There is no other angle of rotation that produces the same letter. Therefore, the H has only 2 rotational symmetries.
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--The question is incomplete, answering to the question below--
"How many reflectional symmetries does this figure have?
Enter your answer
___ reflectional symmetries
How many rotational symmetries does this figure have?
Enter your answer
___ rotational symmetries"
A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3. Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What are the mean and median number of letters per word? What is the outlier? The mean number of letters per word = The median number of letters per word = The outlier =
5
4.5
There is no outlier.
Step-by-step explanation: GOT IT RIGHT :)
okie please give brainiest if you got it correct :)
Answer:
For the other person to get branliest! They got it right
Step-by-step explanation:
8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)
Step-by-step explanation:
sorry that's all i know hehe
In ΔVWX, \text{m}\angle V = (6x-4)^{\circ}m∠V=(6x−4) ∘ , \text{m}\angle W = (x+12)^{\circ}m∠W=(x+12) ∘ , and \text{m}\angle X = (3x+2)^{\circ}m∠X=(3x+2) ∘. Find \text{m}\angle W. M∠W
The measure of angle m∠W of the triangle is m∠W= 29°
Given data:
To find the measure of angle W (m∠W), use the fact that the sum of angles in a triangle is 180°.
m∠V + m∠W + m∠X = 180°
Substituting the given angle measures:
(6x - 4) + (x + 12) + (3x + 2) = 180°
Simplifying the equation:
6x - 4 + x + 12 + 3x + 2 = 180
Combining like terms:
10x + 10 = 180
Subtracting 10 from both sides:
10x = 170
Dividing both sides by 10:
x = 17°
Now find the measure of angle W by substituting x = 17 into the expression for m∠W:
m∠W = (x + 12) = (17 + 12) = 29°
Hence, the measure of angle W is 29°
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The complete question is attached below:
In ΔVWX, m∠V = (6x-4)°, m∠W = (x+12)° , m∠X = (3x+2)°.
Find m∠W.
what is parameter in statistics
A statistic is a number that describes a sample, whereas a parameter is a number that describes the complete population.
To characterise the whole population under consideration, a parameter is utilised. For instance, we could be curious about a butterfly's typical length. Given that it contains data on the whole butterfly population, this qualifies as a parameter.
The most often used sample is a simple random sample. Every practicable sample of the selected size must be given an equal probability of being used. An element is a population characteristic. The statistic is a property of the sample.
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